The vibrational energy for a diatomic molecule is defined as (\(G(v) = (v+\frac{1}{2})\bar{\nu}_e - (v+\frac{1}{2})^2\bar{\nu}_e x_e), where (\bar{\nu}_e\)) represents the fundamental frequency and (xe) is the anharmonicity constant. An infrared spectrum of a CO molecule in an excited state displays two transitions at (2143.26 cm^-1) and (2124.83 cm-1), identified as transitions between vibrational levels (1→2) and (2→ 3), respectively. The (\(\bar{\nu}_e\)) and (\(\bar{\nu}_e x_e\)) (in  cm-1) for the CO molecule in this state are: